A017024 a(n) = (7*n + 3)^8.

6561, 100000000, 6975757441, 110075314176, 852891037441, 4347792138496, 16815125390625, 53459728531456, 146830437604321, 360040606269696, 806460091894081, 1677721600000000, 3282116715437121, 6095689385410816

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Crossrefs

Cf. A017017 - A017023, A017025 - A017028.

Programs

Magma

[(7*n+3)^8: n in [0..30]]; // Vincenzo Librandi, Jul 14 2011

Mathematica

(7*Range[0,40] +3)^8 (* G. C. Greubel, Oct 17 2023 *)

SageMath

[(7*n+3)^8 for n in range(41)] # G. C. Greubel, Oct 17 2023

Formula

From G. C. Greubel, Oct 17 2023: (Start)

G.f.: (6561 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7 +65536*x^8)/(1-x)^9.

E.g.f.: (6561 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7 +5764801*x^8)*exp(x). (End)